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Published in 2019 at "Journal of Statistical Theory and Practice"
DOI: 10.1007/s42519-019-0038-7
Abstract: We discuss inverted exponentiated Rayleigh distribution under progressive first-failure censoring. Maximum likelihood and Bayes estimates of unknown parameters are obtained. An expectation–maximization algorithm is used for computing maximum likelihood estimates. Asymptotic intervals are constructed from… read more here.
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Published in 2017 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2017.03.047
Abstract: Abstract Exact confidence intervals and regions are proposed for the location and scale parameters of the Rayleigh distribution. These sets are valid for complete data, and also for standard and progressive failure censoring. Constrained optimization… read more here.
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Published in 2018 at "Journal of Statistical Computation and Simulation"
DOI: 10.1080/00949655.2017.1398256
Abstract: ABSTRACT Ranked set sampling (RSS) is an efficient method for estimating parameters when exact measurement of observation is difficult and/or expensive. In this paper, we provide maximum likelihood estimation of the shape and scale parameters… read more here.
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Published in 2017 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2014.1002937
Abstract: ABSTRACT In this paper, a new extension for the generalized Rayleigh distribution is introduced. The proposed model, called Marshall–Olkin extended generalized Rayleigh distribution, arises based on the scheme introduced by Marshall and Olkin (1997). A… read more here.
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Published in 2017 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2015.1019140
Abstract: ABSTRACT This paper develops Bayesian analysis in the context of progressively Type II censored data from the compound Rayleigh distribution. The maximum likelihood and Bayes estimates along with associated posterior risks are derived for reliability… read more here.
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Published in 2022 at "Entropy"
DOI: 10.3390/e24020171
Abstract: Inverted exponentiated Rayleigh distribution is a widely used and important continuous lifetime distribution, which plays a key role in lifetime research. The joint progressively type-II censoring scheme is an effective method used in the quality… read more here.
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Published in 2022 at "Mathematics"
DOI: 10.3390/math10081316
Abstract: We propose a new goodness-of-fit test for the Rayleigh distribution which is based on a distributional fixed-point property of the Stein characterization. The limiting null distribution of the test is derived and the consistency against… read more here.
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Published in 2020 at "Symmetry"
DOI: 10.3390/sym12111925
Abstract: This paper discusses the sequential estimation of the scale parameter of the Rayleigh distribution using the three-stage sequential sampling procedure proposed by Hall (Ann. Stat.1981, 9, 1229–1238). Both point and confidence interval estimation are considered… read more here.